Table of 270edo intervals

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Step Five limit Seven limit Eleven limit Thirteen limit
1 32805/32768 3136/3125 385/384 325/324
2 15625/15552 225/224 176/175 169/168
3 78732/78125 126/125 121/120 121/120
4 2048/2025 2048/2025 99/98 91/90
5 81/80 81/80 81/80 78/77
6 20000/19683 64/63 64/63 64/63
7 3125/3072 3125/3072 55/54 55/54
8 1594323/1562500 49/48 49/48 49/48
9 128/125 128/125 45/44 45/44
10 6561/6400 525/512 77/75 40/39
11 250/243 36/35 36/35 36/35
12 16875/16384 4096/3969 33/32 33/32
13 262144/253125 405/392 125/121 91/88
14 648/625 28/27 28/27 28/27
15 20480/19683 8192/7875 80/77 26/25
16 25/24 25/24 25/24 25/24
17 273375/262144 256/245 256/245 117/112
18 16384/15625 1875/1792 22/21 22/21
19 6561/6250 21/20 21/20 21/20
20 256/243 256/243 81/77 81/77
21 135/128 135/128 132/125 96/91
22 62500/59049 200/189 128/121 55/52
23 78125/73728 3584/3375 35/33 35/33
24 524288/492075 625/588 625/588 117/110
25 16/15 16/15 16/15 16/15
26 2187/2048 2187/2048 77/72 77/72
27 3125/2916 15/14 15/14 15/14
28 140625/131072 672/625 189/176 130/121
29 32768/30375 2205/2048 264/245 14/13
30 27/25 27/25 27/25 27/25
31 64000/59049 1024/945 250/231 13/12
32 625/576 243/224 88/81 88/81
33 2125764/1953125 49/45 49/45 49/45
34 2048/1875 2048/1875 12/11 12/11
35 2187/2000 35/32 35/32 35/32
36 800/729 192/175 192/175 169/154
37 1125/1024 1125/1024 11/10 11/10
38 390625/354294 54/49 54/49 54/49
39 3456/3125 448/405 243/220 243/220
40 65536/59049 567/512 256/231 72/65
41 10/9 10/9 10/9 10/9
42 18225/16384 4096/3675 49/44 39/35
43 78125/69984 125/112 125/112 125/112
44 17496/15625 28/25 28/25 28/25
45 4096/3645 4096/3645 55/49 55/49
46 9/8 9/8 9/8 9/8
47 200000/177147 640/567 640/567 44/39
48 15625/13824 2025/1792 112/99 112/99
49 177147/156250 245/216 245/216 143/126
50 256/225 256/225 25/22 25/22
51 729/640 729/640 154/135 154/135
52 2500/2187 8/7 8/7 8/7
53 9375/8192 3584/3125 55/48 55/48
54 524288/455625 147/128 147/128 147/128
55 144/125 144/125 121/105 121/105
56 59049/51200 4725/4096 231/200 15/13
57 125/108 81/70 81/70 81/70
58 151875/131072 512/441 297/256 65/56
59 32768/28125 3125/2688 64/55 64/55
60 729/625 7/6 7/6 7/6
61 2560/2187 1024/875 90/77 90/77
62 75/64 75/64 75/64 75/64
63 625000/531441 147/125 147/125 147/125
64 18432/15625 7168/6075 33/28 33/28
65 59049/50000 189/160 189/160 13/11
66 32/27 32/27 32/27 32/27
67 1215/1024 1215/1024 196/165 108/91
68 15625/13122 25/21 25/21 25/21
69 78125/65536 448/375 105/88 105/88
70 65536/54675 1225/1024 176/147 140/117
71 6/5 6/5 6/5 6/5
72 19683/16384 2048/1701 77/64 65/54
73 3125/2592 135/112 135/112 135/112
74 472392/390625 98/81 98/81 98/81
75 4096/3375 4096/3375 40/33 40/33
76 243/200 175/144 147/121 147/121
77 8000/6561 128/105 128/105 39/32
78 625/512 625/512 11/9 11/9
79 1953125/1594323 49/40 49/40 49/40
80 768/625 768/625 27/22 27/22
81 19683/16000 315/256 154/125 16/13
82 100/81 100/81 100/81 100/81
83 10125/8192 8192/6615 99/80 26/21
84 390625/314928 243/196 150/121 150/121
85 3888/3125 56/45 56/45 56/45
86 8192/6561 5103/4096 96/77 81/65
87 5/4 5/4 5/4 5/4
88 164025/131072 784/625 441/352 351/280
89 78125/62208 1125/896 44/35 44/35
90 19683/15625 63/50 63/50 63/50
91 512/405 512/405 125/99 91/72
92 81/64 81/64 81/64 81/64
93 25000/19683 80/63 80/63 33/26
94 15625/12288 7168/5625 14/11 14/11
95 1048576/820125 125/98 125/98 125/98
96 32/25 32/25 32/25 32/25
97 6561/5120 2625/2048 77/60 50/39
98 625/486 9/7 9/7 9/7
99 84375/65536 1568/1215 165/128 156/121
100 65536/50625 1323/1024 128/99 84/65
101 162/125 35/27 35/27 35/27
102 25600/19683 2048/1575 100/77 13/10
103 125/96 125/96 125/96 125/96
104 1366875/1048576 64/49 64/49 64/49
105 4096/3125 4096/3125 55/42 55/42
106 6561/5000 21/16 21/16 21/16
107 320/243 320/243 320/243 154/117
108 675/512 675/512 33/25 33/25
109 78125/59049 250/189 160/121 143/108
110 20736/15625 896/675 175/132 65/49
111 131072/98415 1701/1280 512/385 117/88
112 4/3 4/3 4/3 4/3
113 10935/8192 8192/6125 147/110 147/110
114 15625/11664 75/56 75/56 75/56
115 104976/78125 168/125 121/90 121/90
116 8192/6075 8192/6075 66/49 35/26
117 27/20 27/20 27/20 27/20
118 80000/59049 256/189 256/189 65/48
119 3125/2304 1215/896 110/81 110/81
120 531441/390625 49/36 49/36 49/36
121 512/375 512/375 15/11 15/11
122 2187/1600 175/128 175/128 160/117
123 1000/729 48/35 48/35 48/35
124 5625/4096 5625/4096 11/8 11/8
125 1048576/759375 135/98 135/98 91/66
126 864/625 112/81 112/81 112/81
127 81920/59049 2835/2048 320/231 18/13
128 25/18 25/18 25/18 25/18
129 91125/65536 1024/735 245/176 39/28
130 65536/46875 625/448 88/63 88/63
131 4374/3125 7/5 7/5 7/5
132 1024/729 1024/729 108/77 108/77
133 45/32 45/32 45/32 45/32
134 250000/177147 343/243 343/243 55/39
135 78125/55296 10125/7168 99/70 99/70
136 177147/125000 486/343 343/242 78/55
137 64/45 64/45 64/45 64/45
138 729/512 729/512 77/54 77/54
139 3125/2187 10/7 10/7 10/7
140 46875/32768 896/625 63/44 63/44
141 131072/91125 735/512 352/245 56/39
142 36/25 36/25 36/25 36/25
143 59049/40960 4096/2835 231/160 13/9
144 625/432 81/56 81/56 81/56
145 759375/524288 196/135 196/135 132/91
146 8192/5625 8192/5625 16/11 16/11
147 729/500 35/24 35/24 35/24
148 3200/2187 256/175 225/154 117/80
149 375/256 375/256 22/15 22/15
150 781250/531441 72/49 72/49 72/49
151 4608/3125 1792/1215 81/55 81/55
152 59049/40000 189/128 189/128 65/44
153 40/27 40/27 40/27 40/27
154 6075/4096 6075/4096 49/33 49/33
155 78125/52488 125/84 125/84 125/84
156 23328/15625 112/75 112/75 112/75
157 16384/10935 6125/4096 220/147 175/117
158 3/2 3/2 3/2 3/2
159 98415/65536 2560/1701 385/256 176/117
160 15625/10368 675/448 264/175 98/65
161 118098/78125 189/125 121/80 121/80
162 1024/675 1024/675 50/33 50/33
163 243/160 243/160 243/160 117/77
164 10000/6561 32/21 32/21 32/21
165 3125/2048 3125/2048 55/36 55/36
166 2097152/1366875 49/32 49/32 49/32
167 192/125 192/125 135/88 135/88
168 19683/12800 1575/1024 77/50 20/13
169 125/81 54/35 54/35 54/35
170 50625/32768 2048/1323 99/64 65/42
171 131072/84375 1215/784 256/165 121/78
172 972/625 14/9 14/9 14/9
173 10240/6561 4096/2625 120/77 39/25
174 25/16 25/16 25/16 25/16
175 820125/524288 196/125 196/125 196/125
176 24576/15625 5625/3584 11/7 11/7
177 19683/12500 63/40 63/40 52/33
178 128/81 128/81 128/81 128/81
179 405/256 405/256 198/125 144/91
180 31250/19683 100/63 100/63 100/63
181 78125/49152 1792/1125 35/22 35/22
182 262144/164025 625/392 625/392 351/220
183 8/5 8/5 8/5 8/5
184 6561/4096 6561/4096 77/48 77/48
185 3125/1944 45/28 45/28 45/28
186 421875/262144 392/243 121/75 121/75
187 16384/10125 6615/4096 160/99 21/13
188 81/50 81/50 81/50 81/50
189 32000/19683 512/315 125/77 13/8
190 625/384 625/384 44/27 44/27
191 3188646/1953125 49/30 49/30 49/30
192 1024/625 1024/625 18/11 18/11
193 6561/4000 105/64 105/64 64/39
194 400/243 288/175 242/147 242/147
195 3375/2048 3375/2048 33/20 33/20
196 390625/236196 81/49 81/49 81/49
197 5184/3125 224/135 224/135 224/135
198 32768/19683 1701/1024 128/77 108/65
199 5/3 5/3 5/3 5/3
200 54675/32768 2048/1225 147/88 117/70
201 78125/46656 375/224 176/105 176/105
202 26244/15625 42/25 42/25 42/25
203 2048/1215 2048/1215 165/98 91/54
204 27/16 27/16 27/16 27/16
205 100000/59049 320/189 320/189 22/13
206 15625/9216 6075/3584 56/33 56/33
207 531441/312500 245/144 245/144 143/84
208 128/75 128/75 75/44 75/44
209 2187/1280 875/512 77/45 77/45
210 1250/729 12/7 12/7 12/7
211 28125/16384 5376/3125 55/32 55/32
212 262144/151875 441/256 441/256 112/65
213 216/125 140/81 121/70 121/70
214 102400/59049 8192/4725 343/198 26/15
215 125/72 125/72 125/72 125/72
216 455625/262144 256/147 256/147 195/112
217 16384/9375 3125/1792 96/55 96/55
218 2187/1250 7/4 7/4 7/4
219 1280/729 1280/729 135/77 135/77
220 225/128 225/128 44/25 44/25
221 312500/177147 432/245 432/245 143/81
222 27648/15625 3584/2025 99/56 99/56
223 177147/100000 567/320 567/320 39/22
224 16/9 16/9 16/9 16/9
225 3645/2048 3645/2048 98/55 98/55
226 15625/8748 25/14 25/14 25/14
227 139968/78125 224/125 224/125 224/125
228 32768/18225 3675/2048 88/49 70/39
229 9/5 9/5 9/5 9/5
230 59049/32768 1024/567 231/128 65/36
231 3125/1728 405/224 405/224 405/224
232 708588/390625 49/27 49/27 49/27
233 2048/1125 2048/1125 20/11 20/11
234 729/400 175/96 175/96 175/96
235 4000/2187 64/35 64/35 64/35
236 1875/1024 1875/1024 11/6 11/6
237 1953125/1062882 90/49 90/49 90/49
238 1152/625 448/243 81/44 81/44
239 59049/32000 945/512 231/125 24/13
240 50/27 50/27 50/27 50/27
241 30375/16384 4096/2205 245/132 13/7
242 262144/140625 625/336 225/121 121/65
243 5832/3125 28/15 28/15 28/15
244 4096/2187 4096/2187 144/77 144/77
245 15/8 15/8 15/8 15/8
246 492075/262144 1176/625 847/450 220/117
247 78125/41472 3375/1792 66/35 49/26
248 59049/31250 189/100 121/64 104/55
249 256/135 256/135 125/66 91/48
250 243/128 243/128 154/81 154/81
251 12500/6561 40/21 40/21 40/21
252 15625/8192 3584/1875 21/11 21/11
253 524288/273375 245/128 245/128 224/117
254 48/25 48/25 48/25 48/25
255 19683/10240 7875/4096 77/40 25/13
256 625/324 27/14 27/14 27/14
257 253125/131072 784/405 242/125 176/91
258 32768/16875 3969/2048 64/33 64/33
259 243/125 35/18 35/18 35/18
260 12800/6561 1024/525 150/77 39/20
261 125/64 125/64 88/45 88/45
262 3125000/1594323 49/25 49/25 49/25
263 6144/3125 6144/3125 55/28 55/28
264 19683/10000 63/32 63/32 63/32
265 160/81 160/81 160/81 77/39
266 2025/1024 2025/1024 99/50 99/50
267 78125/39366 125/63 125/63 125/63
268 31104/15625 448/225 175/88 175/88
269 65536/32805 3125/1568 768/385 648/325
270 2 2 2 2